Can you take out a long insert Arcos 1 1/8" headset..??

I ask this since the King Steelset's are impossible to extract, Basically I'm think of getting a Argon but I will like to run one of the king Steelset I already have, but for that to happen I need to take the Arcos first (yes I know is a great
but I'm a King man)

Tolerances between headtube and headset cups can vary wildly and the internal shape of the headtube can also make things more difficult. Weather or not anti-sieze was used and the lenght of time the headset was installed are also factors. So yeah, these things can be a pita sometimes. So far, with a bit of effort, I've been able to get any headset out.

To your point about the headset tool not grabbin. I have seen combinations where the only option was to use a very big flathead screwdriver. That makes a mess of things, but both the frame and the headset were still useable.